Line AB is parallel to line CD, which means that they will never intersect and their corresponding angles will be congruent. Angle x is formed by line AB and a transversal line, which means that it is an alternate interior angle with the angle formed by line CD and the same transversal.
To find the measure of angle x, I can use the fact that alternate interior angles are congruent. In this case, the congruent angle to angle x is the angle formed by line CD and the transversal. Let's call this angle y.
Since angles x and y are congruent, I can solve for the measure of angle y instead and it will be the same as the measure of angle x.
Now, the angle labeled as 130 degrees is a straight angle, which means it is a straight line and measures 180 degrees. Since angle x is part of a straight angle with the angle labeled as 130 degrees, I can set up an equation:
x + 130 = 180
To find x, I can subtract 130 from both sides of the equation:
x = 180 - 130 = 50
So, the measure of angle x is 50 degrees.
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work.
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.
(make it sound like an eight grade girl who is a tomboy who doesn't used 'like' after every sentence, make it so that she shows her work but not too much work, also make it less than 200 words)
1 answer